Open AccessType-2 Duality Trapezoidal Fuzzy Fractional Transportation Problem using Fuzzy Optimization Techniques
Author(s) -
P. Priyadharshini,
A. Anju
Publication year - 2020
Publication title -
international journal of recent technology and engineering
Language(s) - English
Resource type - Journals
ISSN - 2277-3878
DOI - 10.35940/ijrte.e7035.038620
Subject(s) - duality (order theory) , mathematics , mathematical optimization , fuzzy logic , fuzzy number , fuzzy transportation , type (biology) , fuzzy set operations , fractional programming , fuzzy set , defuzzification , computer science , discrete mathematics , nonlinear programming , artificial intelligence , nonlinear system , ecology , physics , quantum mechanics , biology
The authors focused goal programming technique for solving type-2 duality fuzzy fractional transportation problem by using interval-valued triangular intuitionistic fuzzy numbers. The proposed method solves three types of models in which variables are taken as type-2 fuzzy variables which have spring up to the fuzzy fractional transportation problem. In these models, duality is applied and a particular type of non-linear membership functions are used to resolve duality fractional transportation problem including fuzzy parameters. A numerical example for examining the performance of the proposed model is envisaged here.